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Search: MSC category 20E42 ( Groups with a $BN$-pair; buildings [See also 51E24] )

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1. CMB 2014 (vol 57 pp. 390)

Morita, Jun; Rémy, Bertrand
 Simplicity of Some Twin Tree Automorphism Groups with Trivial Commutation Relations We prove simplicity for incomplete rank 2 Kac-Moody groups over algebraic closures of finite fields with trivial commutation relations between root groups corresponding to prenilpotent pairs. We don't use the (yet unknown) simplicity of the corresponding finitely generated groups (i.e., when the ground field is finite). Nevertheless we use the fact that the latter groups are just infinite (modulo center). Keywords:Kac-Moody group, twin tree, simplicity, root system, buildingCategories:20G44, 20E42, 51E24